Answer:
Y= 13,-13
Step-by-step explanation:
A box of chocolates contains five milk chocolates, five dark chocolates, and five white chocolates. You randomly select and eat three chocolates. The first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate. Is it independent or dependen?
The first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate independent and the probability is 25/546.
What is probability ?Probability of something is the occurrence of a certain event out of the total events that can occur.
According to the given question
The total no. of chocolates in the box is
(5 + 5+ 5) = 15 chocolates.
The probability of eating a milk chocolate first a dark chocolate second and a white chocolate third is an independent event because occurrence of next event do not depend upon the previous event.
There are 5 milk chocolates.
So, probability of getting a milk chocolate first is
P(mc) = 5/15
= 1/3
Now the the chocolate can no be replaced because it is eaten
∴ Probability of getting a dark chocolate second is
P(dc) = 5/14 (as the total no. of chocolate is reduced by 1
because it has been eaten)
And the probability of getting a white chocolate in 3rd attempt is
P(wc) = 5/13
As the first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate is an independent event their probability is
P(mc) ∩ P(dc) ∩ P(wc)
= P(mc) × P(dc) × P(wc)
= (1/3 × 5/14 × 5/13)
= 25/546.
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the lcm of 22 132 and 253 using prime factorization?
Answer:
3036
multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144 and so on,
multiples of 32 are 264, 396, 528, 660, 792, 924, 1056 and so on,
multiples of 253 are 253, 506, 759, 1012, and so on,
Its quite a time consuming process.
when all the numbers eventually meet together that is the answer.
I need help it really hard
Answer:
ΔPQR and ΔSTU are not similar.
Step-by-step explanation:
The two triangles look distinguishable from each other.
13 m
6 m
8 m
✓
7 m
What is the perimeter and the area?
Answer:
4368 m
Step-by-step explanation:
13x6x8x7=4368
Help me!! ASAP!! Plss just help me :( I will give u BRAINLYEST!!
Come up with a real world situation that would involve finding the area of a circle.
Any point on the parabola can be labeled (x,y) as shown.
1. What are the distances from the point (x,y)(x,y) to the focus of the parabola and the directrix?
Select two answers.
distance to the focus: √(x+3)2+(y−3)2
distance to the directrix: |y−4|
distance to the directrix: |x−4|
distance to the focus: √(x−2)2+(y+3)2
distance to the focus: √(x+3)2+(y−2)2
distance to the directrix: |y+4|
2. What is the correct standard form of the equation of the parabola?
Answer:
Part A)
2nd and 5th choice.
Part B)
[tex]\displaystyle y=-\frac{1}{4}x^2-\frac{3}{2}x+\frac{3}{4}[/tex]
Step-by-step explanation:
For the given parabola, our focus is (-3, 2), and our directrix is given by y = 4.
Part A)
We are given a point (x, y) on the parabola.
Since our directrix is an equation of y, the distance from (x, y) to the directrix will simply be the absolute value of the difference in y-values. So:
[tex]d_1=|y-4|=|4-y|[/tex]
Recall the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Our distance from (x, y) to the focus (-3, 2) can be determined using the distance formula. Let (x, y) be (x₂, y₂) and let our focus (-3, 2) be (x₁, y₁). Therefore:
[tex]d_2=\sqrt{(x-(-3))^2+(y-2)^2}=\sqrt{(x+3)^2+(y-2)^2[/tex]
Hence, for Part A, our answers are the 2nd and 5th choices.
Part B)
Recall that by the definition of a parabola, any point (x, y) on it is equidistant to the directrix and focus. Hence:
[tex]\sqrt{(x+3)^2+(y-2)^2}=|y-4|[/tex]
Solve for y. Square both sides. We may remove the absolute value since anything squared is positive:
[tex](x+3)^2+(y-2)^2=(y-4)^2[/tex]
Square:
[tex]x^2+6x+9+y^2-4y+4=y^2-8y+16[/tex]
Rearrange:
[tex](x^2+6x+13)+(-16)=(y^2-y^2)+(-8y+4y)[/tex]
Combine like terms:
[tex]x^2+6x-3=-4y[/tex]
Divide both sides by -4. Hence, our equation is:
[tex]\displaystyle y=-\frac{1}{4}x^2-\frac{3}{2}x+\frac{3}{4}[/tex]
Heyo! :D
Distance to the directrix is |y - 4|.
Distance to the focus is [tex]\sqrt{(x+3)^2+(y-2)^2}[/tex].
Hope this helps! If so, please lmk! Tysm and good luck!
3+(7-5)to the power of 2 x 6
Answer:
27
Step-by-step explanation:
PEMDAS
That is the order that you should solve complex equations
You first do equations in Parentheses
Then exponents
Then Multiplication or Division (whichever comes first in the equation)
Then Addition or Subtraction (again, whichever comes first in the equation)
So we first do the equation in parentheses, 7 - 5
7 - 5 = 2
Then we do the exponent (to the power of 2)
2 to the power of 2 is 4 (fun fact. 2 + 2 is the only equation that is the same in addition form and multiplication form)
Next, we multiply 4 by 6
4 x 6 = 24
And finally addition
3 + 24 = 27
A soccer field is 120 yards long. Han measures the length of the field using a 30-foot-long tape measure and gets a measurement of 358 feet, 10 inches. What is the amount of the error?
Answer:
Error = 1.167 feet
Percentage error = 0.3242%
Step-by-step explanation:
The original length of the soccer field = 120 yards long
Converting to feet
1 yard = 3 feet
120 yards = x
Cross Multiply
x = 120 × 3 feet
x = 360 feet
Measured length:
Han measures the length of the field using a 30-foot-long tape measure and gets a measurement of 358 feet, 10 inches.
We convert 10 inches to feet
1 inch = 0.0833 feet
10 inches = x feet
Cross Multiply
x = 10 × 0.0833 feet
x = 0.833 feet
The measured length = 358 feet + 0.833 feet
= 358.833 feet
The Error is calculated as:
|Measured length - Original Length)
= 360 feet - 358.833 feet
= 1.167 feet
Percentage Error
= Error/Original Length × 100
= 1.167/360 × 100
= 0.3241666667%
Approximately = 0.3242%
Sara has already saved $6. She earns $3 per hour. She needs a minimum of $94 to buy her new bike. What is the minimum number of hours she must work?
Answer:
30
Step-by-step explanation:
3 times 30 = 90 - 2(for the six she already had) so 30
i think
What's the difference between period and cycle in math?
Represent the following expression with a single rational number.
-2 ⅖ + 3 ¼ - ⅗
HELP ME PLS
Answer:
1/4
Step-by-step explanation:
-2 2/5 + 3 1/4 - 3/5
-12/5 + 13/4 - 3/5 =
1/4
– 7y = 7x + 21
Please I need these two question answered fasttttt, I need to get the slope and y-intercept for both these problems.
Answer:
slope=-1
y-intercept=-3
Step-by-step explanation:
if you solve the equation, it equals y = -x-3 since you divide -7 from both sides
help me pleasee i dont know how to do thiss
Step-by-step explanation:
Since UV bisects TW, TW also bisects UV.
=> Line segments UV and TW bisect each other.
=> 4y - 3 = 2y + 1 and 3x + 8 = 3y + 2
=> 2y = 4 and 3x = 3y - 6
=> y = 2 and x = y - 2
=> y = 2 and x = (2) - 2
=> y = 2 and x = 0.
Answer:
y= 181/7 or 25.86
i really dont know about x
42 slices from 3 cakes = 84 slices from____ cakes
6 Cakes man 6 cakes 42*2 3*2
Answer:
42 slices from 3 cakes = 84 slices from 6 cakesStep-by-step explanation:
Let the unknown value be x
[tex]42 = 3\\84 =x\\\\[/tex]
Cross Multiply
[tex]42\times x = 84\times 3\\\\42x = 252[/tex]
Divide both sides of the equation by 42
[tex]\frac{42x}{42} = \frac{252}{42} \\\\Simplify\\\\x =6[/tex]
In a company, 90% of the workers are women . If 440 people work for the company who aren't women , how many workers are there in all? Use pencil and paper. Show two different ways that you can solve this problem.
Answer:
There are total 4400 workers
Process is in photo...
The total number of workers if, In a company, 90% of the workers are women, If 440 people work for the company who aren't women is 4400.
What is percentage?
As it is clear from the term per-cent means measuring anything per hundred. For example, you get marks per 100 marks, so you get the percentage.
Given:
In a company, 90% of the workers are women,
If 440 people work for the company who aren't women,
Calculate the percentage of people who aren't women as shown below,
The percentage of people who aren't women = 100% - the percentage of women
The percentage of people who aren't women = 100% - 90%
The percentage of people who aren't women = 10%
Assume that there are a total of x workers then according to the statement,
10% of x = 440
10 / 100 × x = 440
x = 440 × 100 / 10
x = 4400
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describe the horizontal and/or vertical shifts used to transform the equation y=|x| to the equation y=|x|+4
Jack needs to save $598 to buy a video game system. He is able to save $26 per week. How many weeks will it take till he can buy the video game?
Answer:
23 weeks
Step-by-step explanation:
1. 598/26 = 23
2. 23 weeks
Which of the following is the converse of the statement below?
"If two segments have the same measure, then the segments are congruent."
o Two segments are congruent if and only if they have the same measure.
o If two segments do not have the same measure, then they are not congruent.
o If two segments are not congruent, then they do not have the same measure.
o If two segments are congruent, then they have the same measure.
1
2.
3
4
5
Answer:
Two segments are congruent if and only if they have the same measure.
Step-by-step explanation:
Because they have the same measurement which means that they are congruent if they have the same measure.
If the point (3,-4) is dilated by a scale factor of 74 , what are the new coordinates?
Now take the new points and rotated them 180°. What are the new coordinates?
Answer:
(-222, 296)Step-by-step explanation:
Given point
(3, -4)Dilation by a scale factor of 74:
(x, y) → (74x, 74y)(3, -4) → (74*3, 74(-4)) = (222, -296)Rotation by 180°:
(x, y) → (-x, -y)(222, -296) → (-222, 296)Your friend has $80 when he goes to the fair. He spends $4 to enter the fair and $12 on food. Rides at the fair cost $1 25 per ride. Which function can be used to determine how much money he has left over after x rides?
Answer:
80m - (12+4) = x
Step-by-step explanation:
Hope this helps! I mean its self explanatory
Answer:
$38.75
Step-by-step explanation:
We can add up the amount he spent before he started riding and we'll get $16. Subtract 16 from 80 which is 64. $64 dollars divided by $1.25 would be 51.2. We round down because he can't ride more then 50 rides. He would be able to ride 51 rides with the money he has. Let's say he rode 20 rides and then left the fair. We would subtract 20 from 51 and get 31. After that we would multiply 31 by 1.25 and get $38.75. So he would have $38.75 dollars after he left the fair.
Please help I’m so confused ;(
Answer:
Step-by-step explanation:
Eight friends went to a hockey game. The
price of admission per person was $x. Four
of the friends paid an extra $6 each for a
player guide book. Write and simplify an
expression that represents the total
cost.
Step-by-step explanation:
Four bought a book at $6
4 x $6 = $24
8 x $x = $8x
Expression
$24 + $8x
Help plsssss I will mark as brainlest if correct
Replace x with a couple of numbers, solve for Y them mark those points on the graph and connect with a line.
See picture:
10/4 = a/6
What does "a" equal?
Answer:
15
Step-by-step explanation:
10/4 simplified is
5/2 multiply this by 3
15/6
Step-by-step explanation:
I suggest you to use calculator for this to avoid careless mistakes
Hope this is correct and helpful
HAVE A GOOD DAY!
A sandwich store chargers a $10 delivery fee, and $4.50 for each sandwich.
what is the total cost (sandwiches and delivery charge) if an office orders 6 sandwiches.
Formula (y=mx+b)
Answer:
$37
Step-by-step explanation:
Delivery fee- $10
each sandwich- $4.50
Sandwiches ordered- 6
4.50(6)+10=37
Esther and her 6 brothers went shopping at the mall. She shopped in 12 different stores while her brothers each shopped in 8 different stores. How many stores did Esther and her brothers shop in altogether?
Answer:
60 stores
Step-by-step explanation:
Here, we want to get the total number of stores in which Esther and her 6 brothers went shopping
From the question, she shopped in 12 different stores
Each of her six brothers shopped in 8 different stores
That makes the number of stores in which the brothers shop be 8 * 6 = 48 stores
The total number of stores is thus, 48 + 12 = 60 stores
Refer to the diagram shown.
Answer:
60º
Step-by-step explanation:
What is the Midpoint of segment BC with B(-9, -4) and C(-3, 5)?
Answer:
(-6,0.5)
Step-by-step explanation:
(-9 + -3)÷2= -6
(-4 + 5)÷2=0.5
(-6,0.5)
NEED HELP PLZ!!!!!!!!!!!!!
Answer:
1st Option is correct
Step-by-step explanation:
Just keep adding 150 to see the results
2х +3y
what is the value of this equation
Answer:
12/15
Step-by-step explanation:
